en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (6x)/y

Solution

\int \frac{6 x}{y} d x

Solution

\frac{3 x ^{2}}{y} + C

Solution steps

\int \frac{6 x}{y} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{6}{y} \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= \frac{6}{y} \cdot \frac{x ^{2}}{2}

Simplify

\frac{6}{y} \cdot \frac{x ^{2}}{2} : \frac{3 x ^{2}}{y}

= \frac{3 x ^{2}}{y}

Add a constant to the solution

= \frac{3 x ^{2}}{y} + C

Popular Examples

integral of 1/(9-25x^2)

\int \frac{1}{9 - 25 x ^{2}} d x

integral of x/(3+2x^2)

\int \frac{x}{3 + 2 x ^{2}} d x

integral of sin^3(7x)cos^2(7x)

\int sin^{3} (7 x) cos^{2} (7 x) d x

integral of 4sqrt(x)-5\sqrt[3]{x}

integral of cos(x)+3^x

\int cos (x) + 3^{x} d x

Frequently Asked Questions (FAQ)

What is the integral of (6x)/y ?
The integral of (6x)/y is (3x^2)/y+C